Results 41 to 50 of about 1,203,239 (192)
On some varieties associated with trees [PDF]
, 2014 This article considers some affine algebraic varieties attached to finite trees and closely related to cluster algebras. Their definition involves a canonical coloring of vertices of trees into three colors. These varieties are proved to be smooth and to
Chapoton, Frédéric
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Which canonical algebras are derived equivalent to incidence algebras of posets? [PDF]
Communications in Algebra 36 (2008), 4599-4606, 2007 We give a full description of all the canonical algebras over an algebraically closed field that are derived equivalent to incidence algebras of finite posets. These are the canonical algebras whose number of weights is either 2 or 3.
arxiv +1 more source
Algebraic varieties are homeomorphic to varieties defined over number fields
, 2019 We show that every affine or projective algebraic variety defined over the field of real or complex numbers is homeomorphic to a variety defined over the field of algebraic numbers. We construct such a homeomorphism by choosing a small deformation of the
Parusinski, Adam, Rond, Guillaume
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Valuations on Structures More General Than Fields
Computer Sciences & Mathematics Forum, 2023 Valuation theory is an important area of investigation in algebra, with applications in algebraic geometry and number theory. In 1957, M. Krasner introduced hyperfields, which are field-like objects with a multivalued addition, to describe some ...
Alessandro Linzi
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The Modeling of Cross Flow Runner With Computational Fluid Dynamics on Microhydro Tube [PDF]
E3S Web of Conferences, 2020 The Model of Fluid Dynamics Computation (CFD) aims to obtain cross-tubine flow in microhydro tubes. The parameters used to determine the cross flow turbine power are the blade angle, the number of cross runner blades and the head tube as the production ...
Purwanto, Budiyono, Hermawan, Sudarno
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Nonsplit conics in the reduction of an arithmetic curve
, 2021 For an algebraic function field $F/K$ and a discrete valuation $v$ of $K$ with perfect residue field $k$, we bound the number of discrete valuations on $F$ extending $v$ whose residue fields are algebraic function fields of genus zero over $k$ but not ...
Becher, Karim Johannes, Grimm, David
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The algebraic numbers definable in various exponential fields [PDF]
J. Inst. Math. Jussieu, 11(4):825-834, 2012, 2011 We prove the following theorems: Theorem 1: For any E-field with cyclic kernel, in particular $\mathbb C$ or the Zilber fields, all real abelian algebraic numbers are pointwise definable. Theorem 2: For the Zilber fields, the only pointwise definable algebraic numbers are the real abelian numbers.
arxiv +1 more source
Geometric representation of interval exchange maps over algebraic number fields
, 2007 We consider the restriction of interval exchange transformations to algebraic number fields, which leads to maps on lattices. We characterize renormalizability arithmetically, and study its relationships with a geometrical quantity that we call the drift
Adamczewski B +25 more
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A Power Associative Loop Structure for the Construction of Non-Linear Components of Block Cipher
IEEE Access, 2020 In the symmetric key cryptography, the purpose of the substitution box is to generate confusion and hence improve the security of the whole cryptosystem.
Sadam Hussain +3 more
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On solving norm equations in global function fields
Journal of Mathematical Cryptology, 2009 The potential of solving norm equations is crucial for a variety of applications of algebraic number theory, especially in cryptography. In this article we develop general effective methods for that task in global function fields for the first time.
Gaál István, Pohst Michael E.
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